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Evaluate
-\frac{23}{10}=-2.3
Solution Steps
1 \frac{ 1 }{ 2 } -3 \frac{ 4 }{ 5 }
Multiply 1 and 2 to get 2.
Multiply and to get .
\frac{2+1}{2}-\frac{3\times 5+4}{5}\approx -2.3
Add 2 and 1 to get 3.
Add and to get .
\frac{3}{2}-\frac{3\times 5+4}{5}\approx -2.3
Multiply 3 and 5 to get 15.
Multiply and to get .
\frac{3}{2}-\frac{15+4}{5}\approx -2.3
Add 15 and 4 to get 19.
Add and to get .
\frac{3}{2}-\frac{19}{5}\approx -2.3
Least common multiple of 2 and 5 is 10. Convert \frac{3}{2}=1.5 and \frac{19}{5}=3.8 to fractions with denominator 10.
Least common multiple of and is . Convert and to fractions with denominator .
\frac{15}{10}-\frac{38}{10}\approx -2.3
Since \frac{15}{10}=1.5 and \frac{38}{10}=3.8 have the same denominator, subtract them by subtracting their numerators.
Since and have the same denominator, subtract them by subtracting their numerators.
\frac{15-38}{10}\approx -2.3
Subtract 38 from 15 to get -23.
Subtract from to get .
-\frac{23}{10}=-2.3
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\frac{2+1}{2}-\frac{3\times 5+4}{5}\approx -2.3
Multiply 1 and 2 to get 2.
\frac{3}{2}-\frac{3\times 5+4}{5}\approx -2.3
Add 2 and 1 to get 3.
\frac{3}{2}-\frac{15+4}{5}\approx -2.3
Multiply 3 and 5 to get 15.
\frac{3}{2}-\frac{19}{5}\approx -2.3
Add 15 and 4 to get 19.
\frac{15}{10}-\frac{38}{10}\approx -2.3
Least common multiple of 2 and 5 is 10. Convert \frac{3}{2}=1.5 and \frac{19}{5}=3.8 to fractions with denominator 10.
\frac{15-38}{10}\approx -2.3
Since \frac{15}{10}=1.5 and \frac{38}{10}=3.8 have the same denominator, subtract them by subtracting their numerators.
-\frac{23}{10}=-2.3
Subtract 38 from 15 to get -23.
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